Use the Given Acceleration Function and Initial Conditions to Find $= 1$

Multiple Choice

Use the given acceleration function and initial conditions to find the position at time t $= 1$ , $\mathbf { a } ( t ) = 6 \mathbf { i } + 10 \mathbf { j } + 8 \mathbf { k } , \quad \mathbf { v } ( 0 ) = 4 \mathbf { k } , \quad \mathbf { r } ( 0 ) = \mathbf { 0 }$

A) $\mathbf { r } ( 1 ) = 3 \mathbf { i } + 9 \mathbf { j } - 8 \mathbf { k }$
B) $\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } - 8 \mathbf { k }$
C) $\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } + 8 \mathbf { k }$
D) $\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } + 4 \mathbf { k }$
E) $\mathbf { r } ( 1 ) = 7 \mathbf { i } + 5 \mathbf { j } + 8 \mathbf { k }$